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1045143540 = 223357239499
BaseRepresentation
bin111110010010111…
…001111111110100
32200211121210102000
4332102321333310
54120024043130
6251413015300
734620400500
oct7622717764
92624553360
101045143540
11496a578a1
12252024530
131386b4c3c
149cb3d300
1561b4c260
hex3e4b9ff4

1045143540 has 144 divisors (see below), whose sum is σ = 3782520000. Its totient is φ = 238883904.

The previous prime is 1045143511. The next prime is 1045143569. The reversal of 1045143540 is 453415401.

It is a happy number.

1045143540 is a `hidden beast` number, since 104 + 5 + 14 + 3 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1045143511) and next prime (1045143569).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6711 + ... + 46209.

It is an arithmetic number, because the mean of its divisors is an integer number (26267500).

Almost surely, 21045143540 is an apocalyptic number.

1045143540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891260000).

1045143540 is an abundant number, since it is smaller than the sum of its proper divisors (2737376460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045143540 is a wasteful number, since it uses less digits than its factorization.

1045143540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39531 (or 39516 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1045143540 is about 32328.6798369497. The cubic root of 1045143540 is about 1014.8269225298.

Adding to 1045143540 its reverse (453415401), we get a palindrome (1498558941).

The spelling of 1045143540 in words is "one billion, forty-five million, one hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 39499 78998 118497 157996 197495 236994 276493 355491 394990 473988 552986 592485 710982 789980 829479 1066473 1105972 1184970 1382465 1421964 1658958 1777455 1935451 2132946 2369940 2488437 2764930 3317916 3554910 3870902 4147395 4265892 4976874 5332365 5529860 5806353 7109820 7465311 7741804 8294790 9677255 9953748 10664730 11612706 12442185 14930622 16589580 17419059 19354510 21329460 23225412 24884370 29031765 29861244 34838118 37326555 38709020 49768740 52257177 58063530 69676236 74653110 87095295 104514354 116127060 149306220 174190590 209028708 261285885 348381180 522571770 1045143540